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Augmentation categories in higher dimensions

组织者

深谷賢治 , 高鸿灏 , 袁航

演讲者

Hanming Liu

时间

2025年09月11日 14:30 至 15:30

地点

Shuangqing-B627

摘要

For a compact Legendrian submanifold of a 1-jet space, one can associate to it the augmentation category, which is a unital A-infinity category, whose objects are the augmentations of the Chekanov-Eliashberg DGA of the Legendrian, and is conjecturally equivalent to the rank 1 microlocal sheaf category. This extends the construction of such a category in the case of Legendrian links in standard contact 3-space by Ng-Rutherford-Shende-Sivek-Zaslow. In this talk, I will sketch the construction of the augmentation category, and if time permits, I will also talk about some work in progress about a partially wrapped version of contact Fukaya category in 1-jet spaces.